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1: 25.10 Zeros

… ►More than 41% of all the zeros in the critical strip lie on the critical line (Bui et al. (2011)). …

2: Bibliography B

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Algebraic Combinatorics. I: Association Schemes. The Benjamin/Cummings Publishing Co., Inc., Menlo Park, CA.

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External Links:

ISBN 0-8053-0490-8, MathReview Entry, ZentralBlatt

Referenced by:

§18.28(xi).

Encodings:

BibTeX

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Tables of Normalized Associated Legendre Polynomials. Pergamon Press, The Macmillan Co., Oxford-New York.

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External Links:

MathReview (F. W. J. Olver), ZentralBlatt

Referenced by:

3rd item.

Encodings:

BibTeX

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Nouvelles Tables d’Intégrales Définies. G.E. Stechert & Co., New York.

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Referenced by:

§4.10(iii), §4.26(v), §4.40(v), §6.14(iii), §6.7(iv).

Encodings:

BibTeX

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Introduction to Bessel Functions. Dover Publications Inc., New York.

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Notes:

Unaltered republication of the 1938 edition, published by Longmans, Green and Co., London-New York.

External Links:

MathReview, ZentralBlatt

Referenced by:

§10.73(iii).

Encodings:

BibTeX

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More than 41% of the zeros of the zeta function are on the critical line. Acta Arith. 150 (1), pp. 35–64.

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External Links:

ISSN 0065-1036, Document, Link, MathReview (Timothy S. Trudgian), ZentralBlatt

Referenced by:

§25.10(ii), §25.10(ii), Erratum (V1.1.4) for Subsection 25.10(ii).

Encodings:

BibTeX

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3: Errata

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In the paragraph immediately below (25.10.4), it was originally stated that “more than one-third of all zeros in the critical strip lie on the critical line.” which referred to Levinson (1974). This sentence has been updated with “one-third” being replaced with “41%” now referring to Bui et al. (2011) (suggested by Gergő Nemes on 2021-08-23).

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4: 8.21 Generalized Sine and Cosine Integrals

… ►Furthermore, $\mathrm{si}(a,z)$ and $\mathrm{ci}(a,z)$ are entire functions of $a$, and $\mathrm{Si}(a,z)$ and $\mathrm{Ci}(a,z)$ are meromorphic functions of $a$ with simple poles at $a=-1,-3,-5,\mathrm{\dots }$ and $a=0,-2,-4,\mathrm{\dots }$, respectively. … ►When $\mathrm{ph}z=0$ (and when $a\ne -1,-3,-5,\mathrm{\dots }$, in the case of $\mathrm{Si}(a,z)$, or $a\ne 0,-2,-4,\mathrm{\dots }$, in the case of $\mathrm{Ci}(a,z)$) the principal values of $\mathrm{si}(a,z)$, $\mathrm{ci}(a,z)$, $\mathrm{Si}(a,z)$, and $\mathrm{Ci}(a,z)$ are defined by (8.21.1) and (8.21.2) with the incomplete gamma functions assuming their principal values (§8.2(i)). Elsewhere in the sector $|\mathrm{ph}z|\le \pi$ the principal values are defined by analytic continuation from $\mathrm{ph}z=0$; compare §4.2(i). … ►For the functions on the right-hand sides of (8.21.10) and (8.21.11) see §6.2(ii). … ►When , …

5: DLMF Project News

error generating summary

6: Ronald F. Boisvert

… ►Boisvert has served as Editor-in-Chief of the ACM Transactions on Mathematical Software 1992-2005, Co-chair of the Numerics Working Group of the Java Grande Forum 1998-2003, Co-chair of the Publications Board of the Association for Computing Machinery (ACM) 2005-2013, and Chair of the International Federation for Information Processing (IFIP) Working Group 2. …

7: Barry I. Schneider

… ►He has authored or co-authored 140 refereed papers and books and has given numerous invited talks in the US and abroad. …Schneider has served as Chair and Co-Chair of the APS Division of Computational Physics and the Topical Group on Few-Body Systems and Multipartical Dynamics and has been the organizer of a number of conferences and invited sessions here and abroad. …Recently he has served as Co-Chair of the US government Fast Track Action Committee to update the US strategic computing plan.

8: Stephen M. Watt

… ►He was one of the original authors of the Maple and Axiom computer algebra systems, principal architect of the Aldor programming language and its compiler at IBM Research, and co-author of the MathML and InkML W3C standards. …

9: Annie A. M. Cuyt

… ►Subsequently she was a Research fellow with the Alexander von Humboldt Foundation (Germany), she obtained the Habilitation (1986) and became author or co-author of several books, including Handbook of Continued Fractions for Special Functions. …

10: Wadim Zudilin

… ►He received the Distinguished Award of the Hardy–Ramanujan Society in 2001 and was one of the co-recipients of the 2014 G. …